Factoring ideals in integral domains

This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors in recent years.  Examples of domains studied include (1) those with weak factorization, in which each nonzero, nondivisorial ideal can be f...

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Auteurs principaux: Fontana, Marco, 1947-, Houston, Evan (Auteur), Lucas, Thomas, 1992-...., auteur en mathématiques et informatique (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Édition:1st ed. 2013.
Collection:Lecture Notes of the Unione Matematica Italiana 14
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Edition sous un autre format:• Factoring ideals in integral domains, Marco Fontana, Evan Houston, Thomas Lucas, Heidelberg, Springer, 2013, 1 vol. (VIII - 164 p.), Lecture notes of the Unione Matematica Italiana, 978-3-642-31711-8
• Factoring ideals in integral domains, Marco Fontana, Evan Houston, Thomas Lucas, Heidelberg, Springer, 2013, 1 vol. (VIII - 164 p.), Lecture notes of the Unione Matematica Italiana, 978-3-642-31711-8
• Factoring Ideals in Integral Domains, Texte imprimé, 9783642317132
Description
Résumé:This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors in recent years.  Examples of domains studied include (1) those with weak factorization, in which each nonzero, nondivisorial ideal can be factored as the product of its divisorial closure and a product of maximal ideals and (2) those with pseudo-Dedekind factorization, in which each nonzero, noninvertible ideal can be factored as the product of an invertible ideal with a product of pairwise comaximal prime ideals.  Prüfer domains play a central role in our study, but many non-Prüfer examples are considered as well
Description:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783642317125
ISSN:1862-9121
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